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112213310220 = 2232511157360977
BaseRepresentation
bin110100010000001101…
…1110011101100001100
3101201122100010210012200
41220200123303230030
53314303101411340
6123314452401500
711051515253634
oct1504033635414
9351570123180
10112213310220
1143653540910
12198b8016290
13a773c0ba1b
1456071276c4
152dbb593330
hex1a206f3b0c

112213310220 has 144 divisors (see below), whose sum is σ = 373690201248. Its totient is φ = 27029882880.

The previous prime is 112213310213. The next prime is 112213310227. The reversal of 112213310220 is 22013312211.

112213310220 is a `hidden beast` number, since 1 + 122 + 13 + 310 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112213310213) and next prime (112213310227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112213310193 and 112213310202.

It is not an unprimeable number, because it can be changed into a prime (112213310227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130372 + ... + 491348.

It is an arithmetic number, because the mean of its divisors is an integer number (2595070842).

Almost surely, 2112213310220 is an apocalyptic number.

112213310220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112213310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186845100624).

112213310220 is an abundant number, since it is smaller than the sum of its proper divisors (261476891028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112213310220 is a wasteful number, since it uses less digits than its factorization.

112213310220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361160 (or 361155 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112213310220 its reverse (22013312211), we get a palindrome (134226622431).

The spelling of 112213310220 in words is "one hundred twelve billion, two hundred thirteen million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 157 165 180 198 220 314 330 396 471 495 628 660 785 942 990 1413 1570 1727 1884 1980 2355 2826 3140 3454 4710 5181 5652 6908 7065 8635 9420 10362 14130 15543 17270 20724 25905 28260 31086 34540 51810 62172 77715 103620 155430 310860 360977 721954 1082931 1443908 1804885 2165862 3248793 3609770 3970747 4331724 5414655 6497586 7219540 7941494 10829310 11912241 12995172 15882988 16243965 19853735 21658620 23824482 32487930 35736723 39707470 47648964 56673389 59561205 64975860 71473446 79414940 113346778 119122410 142946892 170020167 178683615 226693556 238244820 283366945 340040334 357367230 510060501 566733890 623407279 680080668 714734460 850100835 1020121002 1133467780 1246814558 1700201670 1870221837 2040242004 2493629116 2550302505 3117036395 3400403340 3740443674 5100605010 5610665511 6234072790 7480887348 9351109185 10201210020 11221331022 12468145580 18702218370 22442662044 28053327555 37404436740 56106655110 112213310220